What is the Greatest Common Factor of 52176 and 52184?

Greatest common factor (GCF) of 52176 and 52184 is 8.

GCF(52176,52184) = 8

We will now calculate the prime factors of 52176 and 52184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52176 and 52184.

How to find the GCF of 52176 and 52184?

We will first find the prime factorization of 52176 and 52184. After we will calculate the factors of 52176 and 52184 and find the biggest common factor number .

Step-1: Prime Factorization of 52176

Prime factors of 52176 are 2, 3, 1087. Prime factorization of 52176 in exponential form is:

52176 = 2⁴ × 3¹ × 1087¹

Step-2: Prime Factorization of 52184

Prime factors of 52184 are 2, 11, 593. Prime factorization of 52184 in exponential form is:

52184 = 2³ × 11¹ × 593¹

Step-3: Factors of 52176

List of positive integer factors of 52176 that divides 52176 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1087, 2174, 3261, 4348, 6522, 8696, 13044, 17392, 26088

Step-4: Factors of 52184

List of positive integer factors of 52184 that divides 52176 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 593, 1186, 2372, 4744, 6523, 13046, 26092

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52176 and 52184. The biggest common factor number is the GCF number.
So the greatest common factor 52176 and 52184 is 8.

Also check out the Least Common Multiple of 52176 and 52184